Question 14.5: Calculate the power gain of the circuit in Example 14.1....
Calculate the power gain of the circuit in Example 14.1.
Step-by-Step
To determine the power gain, first we need to calculate the input power P_{i} and the output power P_{o} .
From the example, V_{i} = 1.82 V and R_{i} = 1 kΩ . Therefore
P_{i} = \frac{V_{i}^{2}}{R_{i}} = \frac{(1.82)^{2}}{1000} = 3.3 mWWe also know that V_{o} = 15.2 V and R_{L} = 50 Ω . Therefore
P_{0} = \frac{V_{0}^{2}}{R_{L}} = \frac{(15.2)^{2}}{50} = 4.62 WThe power gain is then given by
power gain (A_{p}) = \frac{P_{0}}{P_{i}} = \frac{4.62}{0.0033} = 1400
Note that when calculating the input power we use R_{i} but, when calculating the output power, we use R_{L} (not R_{0} ). This is because we are calculating the power delivered to the load, not the power dissipated in the output resistance.
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